Question

pls solve this question ​

Answer 1

Answer:

5/√3-√5

5/√3-√5×√3+√5/√3+√5

5(√3+√5)

Answer 2

Answer:

The required answer =

= -5(√3 + √5) / 2

= (-5√3 - 5√5) / 2

Step-by-step explanation:

Given,

5 / (√3 - √5)

For rationalizing the denominator we must multiply the numerator and denominator by (√3 + √5)

Then,

=> {5/(√3 - √5)} × {(√3+√5)/(√3+√5)}

We know that,

(a - b)(a + b) = a^2 - b^2

Using this identity, we get,

{5/(√3 - √5)} × {(√3+√5)/(√3+√5)} =

= {5(√3 + √5)} / {(√3)^2 - (√5)^2}

= 5(√3 + √5) / (3 - 5)

= 5(√3 + √5) / (-2)

= -5(√3 + √5) / 2

= (-5√3 - 5√5) / 2

Hence, the required answer =

= -5(√3 + √5) / 2

= (-5√3 - 5√5) / 2